A result on a non-autonomous Kirchhoff type equation involving critical term

By using the method of Nehari manifold, we obtain the existence of a positive ground state solution for the following non-autonomous Kirchhoff type equation −(a+b∫RN|∇u|2dx)△u+V(x)u=uN+2N−2,x∈RN,u∈D1,2(RN),N=3,4,where a>0,b>0 and V satisfies some appropriate assumptions.